In this paper we present a new approach to the solution of the output feedback robust H-infinity control problem, We employ the recently developed concept of information state for output feedback dynamic games and obtain necessary and sufficient conditions for the solution to the robust control problem expressed in terms of the information state, The resulting controller is an information state feedback controller and is intrinsically infinite dimensional, Stability results are obtained using the theory of dissipative systems, and indeed, our results are expressed in terms of dissipation inequalities.